Commun. Comput. Phys., 13 (2013), pp. 629-648.

Extended BGK Boltzmann for Dense Gases

Saikishan Suryanarayanan 1, Shiwani Singh 1, Santosh Ansumali 1*

1 Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India.

Received 31 October 2011; Accepted (in revised version) 22 February 2012
Available online 29 August 2012


An alternate BGK type formulation of the Enskog equation has been recently proposed [1]. It was shown that the new model has a valid H-theorem and correct thermal conductivity. We propose Lattice Boltzmann (LB) formulation of this new Enskog-BGK model. The molecular nature of the model is verified in case of shear flow by comparing the predicted normal stress behavior by the current model with the prediction of molecular dynamics simulations. We extend the model for multiphase flow by incorporating attractive part as Vlasov type force. To validate multiphase formulation, the results of 3D simulations of a condensing bubble in a periodic box are presented.

AMS subject classifications: 76T10, 82C40

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Key words: Lattice Boltzmann method, multiphase flow, Enskog equation.

*Corresponding author.
Email: (S. Suryanarayanan), (S. Singh), (S. Ansumali)

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